102880008 has 216 divisors, whose sum is σ = 357747390. Its totient is φ = 26611200.

The previous prime is 102879967. The next prime is 102880027. The reversal of 102880008 is 800088201.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 25826724 = 8778^2 + 5082^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 426768 + ... + 427008.

Almost surely, 2^102880008 is an apocalyptic number.

102880008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178873695).

102880008 is an abundant number, since it is smaller than the sum of its proper divisors (254867382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102880008 is a wasteful number, since it uses less digits than its factorization.

102880008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 102880008 is about 10142.9782608463. The cubic root of 102880008 is about 468.5727154649.

The spelling of 102880008 in words is "one hundred two million, eight hundred eighty thousand, eight".